Have found a tree that states the Jane Clugston that married James Kelly arrived in Australia from Co Armagh in 1856 with her brother Robert and SIL. So don't think this is related to your family.
Cheers Sue
Wow, there's many a submitted tree that has mismashed info

Likely I have found another .... and this one has uploaded the image from NSW BDM for that very marriage...
My transcription :
23 February 1860
Christchurch
Cooma
James KELLY, Bachelor and Jane CLUGSTON, Spinster
Were married in the Church of England, Cooma
The witnesses were Joseph WOODCROFT & Eliza HARVEY.
Bride, Groom, and Joseph Woodcroft signed, Eliza made her mark
Thomas DRUITT was the Rev’d
It is the older form NSW BDM marriage cert that is uploaded to a submitted tree (Issued 1996).
Now, I am quite concerned
I have quite a collection of NSW BDM marriage certs.... and this one seems to have been mangled somewhat ....
There is information ADDED to that image that has NOT been initialled by the NSW BDM. And some of that information is in modern cursive hand, ie possibly added in the last fifteen to twenty years.
The marriage registration does show that the NSW BDM have reconciled their records to the church records, and that that reconciliation was completed in respect of columns 5, 7, 9, 10 from Church Register 1353 under W C L Bayliz on 16.11.36.
So, that reconciliation resulted in the words
“unknown” being added to Column 5, (Birthplace)
“unknown” being added to Column 7 (Ages)
“Unknown” being added to Column 9 (parents)
“unknown” being added to Column 10 (occupations of fathers)
Now, the following alterations to that 1936 reconciliation:
(perhaps the person who obtained the NSW BDM cert went back to Cooma and located the parish register?)
Column 5
(Groom’s birth place, written in very modern post 1960s style handwriting ) Liverpool NSW
(Bride’s birth place same handwriting reads

Billytemple, Ireland
Col 7
(Groom’s Age) 21
(Bride’s Age) 19 (JM notes, umm…. A person not yet 21 years of age was not yet old enough to give their own consent to marriage, so whoever did these alterations has NOT noted the name of the person giving consent, which will be on at least ONE of the C of E parish registers but NSW BDM has only reconciled to ONE of these, not to two or more)….
Col 9
(Groom’s parents) Michael KELLY and Jane --------------
(Bride’s parents) Thomas CLUGSTON and Jane MARTIN
Col 10
(Groom’s Dad’s occupation) Labourer
(Bride’s Dad’s occupation) Stonemason
The witnesses were Joseph WOODCROFT AND Eliza HARVEY.
Bride, Groom, and Joseph Woodcroft signed, Eliza made her mark
Thomas DRUITT was the Rev’d
Both the Bride and the Groom were from Bunyan (place of residence)
I attach a snip showing two of the changes in modern hand. I am quite certain that style of writing (Liverpool NSW, Billytemple, Ireland) was NOT even taught in NSW until the mid 1960s, and of course NSW BDM employees until post 1970s were basically drawn from NSW residents.
ADD
I think the possible "source" of the (recently added) info is likely from Jane KELLY's death cert, which of course is not first hand info. Perhaps save up some pennies and consider obtaining an official transcription, as these do note the reconciliation process and the actual words on the NSW BDM registration.
Cheers, JM